Japan's Nikkei reported earlier on Tuesday that Kim could visit China as early as Tuesday.
Kim will be in Beijing through Wednesday, state media reported.
"We're having very tough talks on trade and I think that probably affects China somewhat", Trump said in a news briefing after his meeting with Kim.
By introducing unprecedented security and economic incentives for denuclearization, on top of the toughest sanctions ever applied against Pyongyang, the Trump administration has maximized diplomatic leverage against Kim Jong Un.
Kim praised China's "important role in protecting the Korean Peninsula's peace and stability", state-run CCTV said.
Following the historic US-North Korea summit in Singapore a week ago, China suggested the UN Security Council could consider easing the economic restrictions on its Cold War-era ally. The government has said only that the UN Security Council - where China and the USA both wield vetoes - should revisit sanctions after Kim's commitment to "complete denuclearization" with Trump last week.
The visit shows that China is "key" to the talks, Wang said.
The outing comes as China has sought to strengthen its role as a mediator between the United States and North Korea, where Beijing claims compelling security and economic interests.
"China stands against the unilateral sanctions outside the UNSC".
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Kim's third trip to China since March comes as Beijing tries to strengthen its role as a mediator between the U.S. and the North, where it claims compelling security and economic interests.
"There may be differences ahead between the DPRK (North Korea) and the United States in regards to denuclearisation, because the U.S. wants irreversible and verifiable denuclearisation".
Officials here say his visit was expected to crystallise the next course of action by him to announce the denuclearisation process and further steps on the Korean peninsula.
According to Reuters, Xi commended Kim for the meeting with Trump last week and was grateful for the outcome.
"We have two nationalistic leaders who are in some ways mirroring each other, who are lining up policies that make conflict between the two more likely not less likely", said Scott Kennedy, deputy director of China studies at the Center for Strategic and International Studies in Washington. For its part, China has been warning of strong retaliation.
China was also briefed by US Secretary of State Mike Pompeo about the Singapore summit during his recent visit here.
Kim told Xi his summit with Trump "achieved results that are in line with the interests of all parties and the expectations of the global communities", according to CCTV.
Donald Gross, a lawyer with Washington Global Law Group, worked on USA negotiations with North Korea during the Clinton administration as senior adviser to the Under Secretary of State for Arms Control and International Security Affairs from 1997 to 2000.
For his part, Xi told Kim he "wants North Korea and the U.S. to carry out the results of their leadership summit", the report said.